368995943993600 has 864 divisors, whose sum is σ = 1145331734077440. Its totient is φ = 114342617088000.

The previous prime is 368995943993591. The next prime is 368995943993617. The reversal of 368995943993600 is 6399349599863.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66330384419 + ... + 66330389981.

It is an arithmetic number, because the mean of its divisors is an integer number (1325615432960).

Almost surely, 2^{368995943993600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368995943993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572665867038720).

368995943993600 is an abundant number, since it is smaller than the sum of its proper divisors (776335790083840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368995943993600 is a wasteful number, since it uses less digits than its factorization.

368995943993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 9183300480, while the sum is 83.

The spelling of 368995943993600 in words is "three hundred sixty-eight trillion, nine hundred ninety-five billion, nine hundred forty-three million, nine hundred ninety-three thousand, six hundred".